Analyzing fractional PDE system with the Caputo operator and Mohand transform techniques

In this paper, we explore advanced methods for solving partial differential equations (PDEs) and systems of PDEs, particularly those involving fractional-order derivatives. We apply the Mohand transform iterative method (MTIM) and the Mohand residual power series method (MRPSM) to address the complexities associated with fractional-order differential equations. Through several examples, we demonstrate the effectiveness and accuracy of MTIM and MRPSM in solving fractional PDEs. The results indicate that these methods simplify the solution process and enhance the solutions' precision. Our findings suggest that these approaches can be valuable tools for researchers dealing with complex PDE systems in various scientific and engineering fields.